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Finding the Third Proportional to 43.97 and 101.06

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Solution

The third proportional to 43.97 and 101.06 is: 232.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    43.97 : 101.06 = 101.06 : x
  2. Step 2: Convert to fraction form
    43.97/101.06 = 101.06/x
  3. Step 3: Cross multiply
    43.97x = 101.06 × 101.06
  4. Step 4: Simplify right side
    43.97x = 10,213.63
  5. Step 5: Solve for x
    x = 10,213.63/43.97
  6. Step 6: Final answer
    x = 232.29

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.